Question

Which of the following represents the translation of R (-3, 4), along the vector <7, -6> <-1, 3>.

Answer 1

Step 1:

The translation is a term used in geometry to describe a function that moves an object a certain distance.

Step 2:

Pre-mage R = (-3,4)

Step 3:

When moved along (7, -6) the new coordinates become:

R' = (-3+7 , 4 - 6 ) = (4 , -2)

R' = ( 4 , -2 )

Step 4:

When moved along (-1, 3) the new coordinates become:

R'' = ( 4-1 , -2+3 ) = ( 3 , 1 )

R'' = (3 , 1)

Final answer

`R(-3\text{ , 4\rparen }\rightarrow\text{ R'\lparen4 , -2\rparen }\rightarrow\text{ R''\lparen3 , 1\rparen}`